8131000000 has 196 divisors, whose sum is σ = 20716609824. Its totient is φ = 3164800000.

The previous prime is 8130999979. The next prime is 8131000037. The reversal of 8131000000 is 1318.

It is a super-2 number, since 2×8131000000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46999914 + ... + 47000086.

Almost surely, 2^8131000000 is an apocalyptic number.

8131000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358304912).

8131000000 is an abundant number, since it is smaller than the sum of its proper divisors (12585609824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8131000000 is an frugal number, since it uses more digits than its factorization.

8131000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 8131000000 is about 90172.0577562695. The cubic root of 8131000000 is about 2010.8576160880.

Adding to 8131000000 its reverse (1318), we get a palindrome (8131001318).

The spelling of 8131000000 in words is "eight billion, one hundred thirty-one million", and thus it is an aban number.